Least Common Multiple of 459, 357, 240

Q: How to Find the LCM of 459, 357, 240 ?

Least Common Multiple of 459, 357, 240 = 257040 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(459, 357, 240) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 17 = 257040.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 459, 357, 240 i.e. 257040 smallest integer divisible by all numbers.

Least common multiple (LCM) of 459, 357, 240 is 257040.

LCM(459, 357, 240) = 257040

LCM of 459, 357, 240

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 459, 357, 240 by common division method
Least Common Multiple of 459, 357, 240 with GCF Formula

Least Common Multiple of 459,357,240

Least Common Multiple (LCM) of 459,357,240 is 257040

3	459, 357, 240
17	153, 119, 80
	9, 7, 80

∴ So the LCM of the given numbers is 3 x 17 x 9 x 7 x 80 = 257040

Least Common Multiple of 459,357,240 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 459,357,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,357,240) = 3

common factors(in case of two or more numbers have common factors) = 51

GCF(459,357,240) x common factors =3 x 51 = 153

LCM(459,357,240) = ( 459 × 357 × 240 ) / 153

LCM(459,357,240) = 39327120 / 153

LCM(459,357,240) = 257040

∴ Least Common Multiple of 459,357,240 is 257040

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 459, 357, 240

1. What is the LCM of 459, 357, 240?

Answer: LCM of 459, 357, 240 is 257040.

2. What are the Factors of 257040?

Answer: Factors of 257040 are . There are integers that are factors of 257040

3. How to Find the LCM of 459, 357, 240 ?

Least Common Multiple of 459, 357, 240.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(459, 357, 240) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 17 = 257040.